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Rewrite the ODE y" = y" + y +t² as a system of first-order ODES. Solve the system y' = 3x, x' =x+ 2y + t, y(0) = 0, x(0) = 0. %3D

Rewrite the ODE y" = y" + y +t² as a system of first-order ODES. Solve the system y' = 3x, x' =x+ 2y + t, y(0) = 0, x(0) = 0. %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 2E
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Help with parts A & B pls.
3. a) Rewrite the ODE y" = y" + y +t² as a system of first-order ODES. %3D b) Solve the system y' = 3.x, x' = x + 2y + t, y(0) = 0, x(0) = 0.
Transcribed Image Text:3. a) Rewrite the ODE y" = y" + y +t² as a system of first-order ODES. %3D b) Solve the system y' = 3.x, x' = x + 2y + t, y(0) = 0, x(0) = 0.
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